Find the sum of possible real values of \( \mathrm{x} \) for which ...

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Find the sum of possible real values of \( \mathrm{x} \) for which the sixth term of
\( \mathrm{P} \)
\[
\left(3^{\log _{3} \sqrt{9^{|x-2|}}}+7^{\left(\frac{1}{5}\right) \log _{7}\left(3^{|x-2|-9}\right)}\right)^{7}
\]
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